Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9492940 | Finite Fields and Their Applications | 2005 | 39 Pages |
Abstract
For any field k and integers n⩾1, d⩾3, with (n,d) not equal to (1,3) or (2,4), we exhibit a smooth hypersurface X over k of degree d in Pn+1 such that X has no nontrivial automorphisms over k¯. For (n,d)=(2,4), we find a smooth hypersurface X with the weaker property of having no nontrivial automorphism induced by an automorphism of the ambient Pn+1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bjorn Poonen,